dc.identifier.uri |
http://dx.doi.org/10.15488/16727 |
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dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/16854 |
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dc.contributor.author |
Baldare, Alexandre
|
|
dc.contributor.author |
Côme, Rémi
|
|
dc.contributor.author |
Nistor, Victor
|
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dc.date.accessioned |
2024-03-21T10:56:55Z |
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dc.date.available |
2024-03-21T10:56:55Z |
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dc.date.issued |
2021 |
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dc.identifier.citation |
Baldare, A.; Côme, R.; Nistor, V.: Fredholm conditions for operators invariant with respect to compact Lie group actions. In: Comptes Rendus. Mathématique 359 (2021), Nr. 9, S. 1135-1143. DOI: https://doi.org/10.5802/crmath.257 |
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dc.description.abstract |
Let G be a compact Lie group acting smoothly on a smooth, compact manifold M, let P ∈ ψm(M;E0,E1) be a G–invariant, classical pseudodifferential operator acting between sections of two G-equivariant vector bundles Ei → M, i = 0,1, and let α be an irreducible representation of the group G. Then P induces a map πα(P): Hs(M;E0)α → Hs−m(M;E1)α between the α-isotypical components. We prove that the map πα(P) is Fredholm if, and only if, P is transversally α-elliptic, a condition defined in terms of the principal symbol of P and the action of G on the vector bundles Ei |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Paris : Institut de Frances, Académie des sciences |
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dc.relation.ispartofseries |
Comptes Rendus. Mathématique 359 (2021), Nr. 9 |
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dc.rights |
CC BY 4.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/4.0/ |
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dc.subject.ddc |
530 | Physik
|
|
dc.subject.ddc |
510 | Mathematik
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|
dc.title |
Fredholm conditions for operators invariant with respect to compact Lie group actions |
eng |
dc.type |
Article |
|
dc.type |
Text |
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dc.relation.essn |
1778-3569 |
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dc.relation.doi |
https://doi.org/10.5802/crmath.257 |
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dc.bibliographicCitation.issue |
9 |
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dc.bibliographicCitation.volume |
359 |
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dc.bibliographicCitation.firstPage |
1135 |
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dc.bibliographicCitation.lastPage |
1143 |
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dc.description.version |
publishedVersion |
eng |
tib.accessRights |
frei zug�nglich |
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